TSTP Solution File: GRP310-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP310-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:22:08 EDT 2024

% Result   : Unsatisfiable 7.87s 1.67s
% Output   : CNFRefutation 7.87s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    multiply(sk_c8,sk_c7) = sk_c6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | multiply(sk_c4,sk_c8) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | multiply(sk_c8,sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c4,sk_c8) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c2
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c2
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(X0,sk_c8) != X1
    | multiply(X2,sk_c8) != sk_c7
    | multiply(X3,sk_c8) != X4
    | multiply(sk_c8,X1) != sk_c7
    | multiply(sk_c8,X4) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c6,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(sk_c8) != sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_77,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_78,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
    | multiply(X2,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c6,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(sk_c8) != sk_c6 ),
    inference(unflattening,[status(thm)],[c_75]) ).

cnf(c_84,plain,
    ( multiply(X2,sk_c8) != sk_c7
    | multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
    | multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(sk_c8) != sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_49,c_79]) ).

cnf(c_85,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
    | multiply(X2,sk_c8) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(sk_c8) != sk_c6 ),
    inference(renaming,[status(thm)],[c_84]) ).

cnf(c_329,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_85]) ).

cnf(c_330,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_85]) ).

cnf(c_331,negated_conjecture,
    ( multiply(sk_c6,sk_c7) != sk_c8
    | inverse(sk_c8) != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).

cnf(c_332,plain,
    multiply(sk_c6,sk_c7) = sP2_iProver_def,
    definition ).

cnf(c_333,plain,
    inverse(sk_c8) = sP3_iProver_def,
    definition ).

cnf(c_334,plain,
    inverse(sk_c4) = sP4_iProver_def,
    definition ).

cnf(c_335,plain,
    inverse(sk_c1) = sP5_iProver_def,
    definition ).

cnf(c_336,plain,
    multiply(sk_c4,sk_c8) = sP6_iProver_def,
    definition ).

cnf(c_337,plain,
    multiply(sk_c8,sk_c5) = sP7_iProver_def,
    definition ).

cnf(c_338,plain,
    inverse(sk_c3) = sP8_iProver_def,
    definition ).

cnf(c_339,plain,
    multiply(sk_c3,sk_c8) = sP9_iProver_def,
    definition ).

cnf(c_340,plain,
    multiply(sk_c1,sk_c8) = sP10_iProver_def,
    definition ).

cnf(c_341,plain,
    multiply(sk_c8,sk_c2) = sP11_iProver_def,
    definition ).

cnf(c_342,plain,
    multiply(sk_c8,sk_c7) = sP12_iProver_def,
    definition ).

cnf(c_343,negated_conjecture,
    ( sP2_iProver_def != sk_c8
    | sP3_iProver_def != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_331,c_333,c_332]) ).

cnf(c_345,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_330]) ).

cnf(c_346,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_329]) ).

cnf(c_347,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP5_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_74,c_335,c_334]) ).

cnf(c_348,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP6_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_73,c_336]) ).

cnf(c_349,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP7_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_72,c_337]) ).

cnf(c_350,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_71,c_338]) ).

cnf(c_351,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP9_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_70,c_339]) ).

cnf(c_352,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP10_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_69,c_340]) ).

cnf(c_353,negated_conjecture,
    ( sP6_iProver_def = sk_c5
    | sP10_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_354,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP10_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_355,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP10_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_356,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP10_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_357,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_64,c_341]) ).

cnf(c_358,negated_conjecture,
    ( sP6_iProver_def = sk_c5
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_359,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_360,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_361,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_362,negated_conjecture,
    ( sP2_iProver_def = sk_c8
    | sP4_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_363,negated_conjecture,
    ( sP2_iProver_def = sk_c8
    | sP6_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_364,negated_conjecture,
    ( sP2_iProver_def = sk_c8
    | sP7_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_365,negated_conjecture,
    ( sP2_iProver_def = sk_c8
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_366,negated_conjecture,
    ( sP2_iProver_def = sk_c8
    | sP9_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_367,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP4_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_368,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP6_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_369,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP7_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_370,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_371,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP9_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_372,negated_conjecture,
    sP12_iProver_def = sk_c6,
    inference(demodulation,[status(thm)],[c_49,c_342]) ).

cnf(c_585,plain,
    multiply(sP12_iProver_def,sk_c7) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_332,c_372]) ).

cnf(c_652,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_358,c_337]) ).

cnf(c_678,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP2_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_360,c_585]) ).

cnf(c_695,plain,
    ( multiply(sP12_iProver_def,sP11_iProver_def) = sP2_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_361,c_585]) ).

cnf(c_713,plain,
    ( multiply(sP5_iProver_def,sk_c2) = sP11_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_347,c_341]) ).

cnf(c_714,plain,
    ( multiply(sk_c8,sP10_iProver_def) = sP11_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_356,c_341]) ).

cnf(c_715,plain,
    ( multiply(sk_c8,sP10_iProver_def) = sP11_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_355,c_341]) ).

cnf(c_716,plain,
    ( multiply(sk_c8,sP10_iProver_def) = sP11_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_354,c_341]) ).

cnf(c_717,plain,
    ( multiply(sk_c8,sP10_iProver_def) = sP11_iProver_def
    | sk_c5 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_353,c_341]) ).

cnf(c_761,plain,
    multiply(sP3_iProver_def,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_333,c_77]) ).

cnf(c_762,plain,
    multiply(sP8_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_338,c_77]) ).

cnf(c_763,plain,
    multiply(sP4_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_334,c_77]) ).

cnf(c_764,plain,
    multiply(sP5_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_335,c_77]) ).

cnf(c_791,plain,
    ( multiply(sP4_iProver_def,sk_c5) = sP7_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_362,c_337]) ).

cnf(c_893,plain,
    ( multiply(sP8_iProver_def,sk_c7) = sP12_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_365,c_342]) ).

cnf(c_948,plain,
    ( multiply(sP12_iProver_def,sP9_iProver_def) = sP2_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_366,c_585]) ).

cnf(c_985,plain,
    ( sk_c8 = sP4_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_367,c_372]) ).

cnf(c_999,plain,
    ( multiply(sP4_iProver_def,sk_c5) = sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_985,c_337]) ).

cnf(c_1049,plain,
    ( sk_c5 = sP6_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_368,c_372]) ).

cnf(c_1057,plain,
    ( sk_c7 = sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_369,c_372]) ).

cnf(c_1109,plain,
    ( sk_c8 = sP8_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_370,c_372]) ).

cnf(c_1120,plain,
    ( multiply(sP8_iProver_def,sk_c7) = sP12_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1109,c_342]) ).

cnf(c_1159,plain,
    ( sk_c7 = sP9_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_371,c_372]) ).

cnf(c_1201,plain,
    multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP10_iProver_def,X0),
    inference(superposition,[status(thm)],[c_340,c_78]) ).

cnf(c_1203,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_77,c_78]) ).

cnf(c_1205,plain,
    multiply(sP12_iProver_def,multiply(sk_c7,X0)) = multiply(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_585,c_78]) ).

cnf(c_1206,plain,
    multiply(sP3_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_761,c_78]) ).

cnf(c_1207,plain,
    multiply(sP8_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_762,c_78]) ).

cnf(c_1208,plain,
    multiply(sP4_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_763,c_78]) ).

cnf(c_1209,plain,
    multiply(sP5_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_764,c_78]) ).

cnf(c_1211,plain,
    multiply(sP5_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1209,c_76]) ).

cnf(c_1212,plain,
    multiply(sP4_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1208,c_76]) ).

cnf(c_1213,plain,
    multiply(sP8_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1207,c_76]) ).

cnf(c_1214,plain,
    multiply(sP3_iProver_def,multiply(sk_c8,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1206,c_76]) ).

cnf(c_1545,plain,
    multiply(sP5_iProver_def,sP10_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_340,c_1211]) ).

cnf(c_1550,plain,
    ( sk_c8 != sP2_iProver_def
    | sP3_iProver_def != sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_343,c_372]) ).

cnf(c_1608,plain,
    ( inverse(sk_c3) != sk_c8
    | sk_c7 != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_339,c_345]) ).

cnf(c_1614,plain,
    ( inverse(sP3_iProver_def) != sk_c8
    | sk_c7 != identity
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_761,c_345]) ).

cnf(c_1638,plain,
    ( sk_c8 != sP8_iProver_def
    | sk_c7 != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1608,c_338]) ).

cnf(c_1777,plain,
    ( multiply(sk_c8,sP9_iProver_def) != sk_c7
    | inverse(sk_c3) != sk_c8
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_339,c_346]) ).

cnf(c_1780,plain,
    ( multiply(sk_c8,sk_c8) != sk_c7
    | inverse(identity) != sk_c8
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_76,c_346]) ).

cnf(c_1807,plain,
    ( multiply(sk_c8,sP9_iProver_def) != sk_c7
    | sk_c8 != sP8_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1777,c_338]) ).

cnf(c_1993,plain,
    multiply(sP4_iProver_def,sP6_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_336,c_1212]) ).

cnf(c_2015,plain,
    multiply(sP8_iProver_def,sP9_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_339,c_1213]) ).

cnf(c_2020,plain,
    multiply(sP3_iProver_def,sP12_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_342,c_1214]) ).

cnf(c_2021,plain,
    multiply(sP3_iProver_def,sP7_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_337,c_1214]) ).

cnf(c_2108,plain,
    multiply(sP3_iProver_def,multiply(sP12_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_2020,c_78]) ).

cnf(c_2605,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP11_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_352,c_713]) ).

cnf(c_2607,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2605,c_1545]) ).

cnf(c_5491,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_363,c_791]) ).

cnf(c_5495,plain,
    ( sk_c8 = sP2_iProver_def
    | sk_c8 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5491,c_1993]) ).

cnf(c_6728,plain,
    ( multiply(sP8_iProver_def,sP9_iProver_def) = sP12_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_366,c_893]) ).

cnf(c_6737,plain,
    ( sk_c8 = sP2_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6728,c_2015]) ).

cnf(c_6859,plain,
    ( sP2_iProver_def != sP12_iProver_def
    | sP3_iProver_def != sP12_iProver_def
    | sk_c8 = sP2_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_6737,c_1550]) ).

cnf(c_6866,plain,
    ( multiply(sP3_iProver_def,sP12_iProver_def) = identity
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_6737,c_761]) ).

cnf(c_6868,plain,
    ( multiply(sP12_iProver_def,sk_c7) = sP12_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_6737,c_342]) ).

cnf(c_6895,plain,
    ( sk_c8 = sP2_iProver_def
    | sP2_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6868,c_585]) ).

cnf(c_6898,plain,
    ( sk_c8 = sP2_iProver_def
    | sk_c7 = identity ),
    inference(light_normalisation,[status(thm)],[c_6866,c_2020]) ).

cnf(c_10556,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1049,c_999]) ).

cnf(c_10561,plain,
    ( sk_c8 = sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10556,c_1993]) ).

cnf(c_10677,plain,
    ( multiply(sP3_iProver_def,sP7_iProver_def) = identity
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_10561,c_761]) ).

cnf(c_10685,plain,
    ( inverse(sP7_iProver_def) = sP3_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_10561,c_333]) ).

cnf(c_10706,plain,
    ( sk_c5 = identity
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10677,c_2021]) ).

cnf(c_12387,plain,
    ( multiply(sP8_iProver_def,sP9_iProver_def) = sP12_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1159,c_1120]) ).

cnf(c_12400,plain,
    ( sk_c8 = sP12_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12387,c_2015]) ).

cnf(c_12453,plain,
    ( sP3_iProver_def = sP12_iProver_def
    | sP7_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12400,c_10561]) ).

cnf(c_12500,plain,
    ( sP3_iProver_def = sP12_iProver_def
    | sP8_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12400,c_1109]) ).

cnf(c_12503,plain,
    ( multiply(sP3_iProver_def,sP12_iProver_def) = identity
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12400,c_761]) ).

cnf(c_12535,plain,
    ( sk_c7 = identity
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12503,c_2020]) ).

cnf(c_12594,plain,
    ( multiply(sP8_iProver_def,sP9_iProver_def) = sP2_iProver_def
    | sk_c8 = sP2_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12500,c_948]) ).

cnf(c_12623,plain,
    ( sk_c8 = sP2_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12594,c_2015]) ).

cnf(c_12910,plain,
    ( identity = sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12535,c_1057]) ).

cnf(c_13017,plain,
    ( sP2_iProver_def = sP8_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12623,c_1109]) ).

cnf(c_13018,plain,
    ( sP2_iProver_def = sP4_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12623,c_985]) ).

cnf(c_17299,plain,
    ( multiply(sk_c1,sP11_iProver_def) = multiply(sP10_iProver_def,sP10_iProver_def)
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_715,c_1201]) ).

cnf(c_17300,plain,
    ( multiply(sk_c1,sP11_iProver_def) = multiply(sP10_iProver_def,sP10_iProver_def)
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_714,c_1201]) ).

cnf(c_18077,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1203,c_76]) ).

cnf(c_18121,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_76,c_18077]) ).

cnf(c_18122,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_77,c_18077]) ).

cnf(c_18124,plain,
    multiply(inverse(sP12_iProver_def),sP2_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_585,c_18077]) ).

cnf(c_18147,plain,
    ( multiply(inverse(sP12_iProver_def),sP2_iProver_def) = sP11_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_695,c_18077]) ).

cnf(c_18148,plain,
    ( multiply(inverse(sP12_iProver_def),sP2_iProver_def) = sP11_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_678,c_18077]) ).

cnf(c_18178,plain,
    multiply(inverse(sP3_iProver_def),identity) = sk_c8,
    inference(superposition,[status(thm)],[c_761,c_18077]) ).

cnf(c_18181,plain,
    multiply(inverse(sP5_iProver_def),identity) = sk_c1,
    inference(superposition,[status(thm)],[c_764,c_18077]) ).

cnf(c_18207,plain,
    multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_1214,c_18077]) ).

cnf(c_18235,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_18077,c_18077]) ).

cnf(c_18762,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(demodulation,[status(thm)],[c_18178,c_18207]) ).

cnf(c_18812,plain,
    multiply(sk_c1,sk_c8) = multiply(sP10_iProver_def,identity),
    inference(superposition,[status(thm)],[c_18762,c_1201]) ).

cnf(c_18821,plain,
    multiply(sP10_iProver_def,identity) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_18812,c_340]) ).

cnf(c_19582,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_18122,c_18235]) ).

cnf(c_19618,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_19582,c_18121]) ).

cnf(c_19721,plain,
    ( inverse(sP7_iProver_def) = sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12910,c_19618]) ).

cnf(c_23249,plain,
    multiply(sk_c8,multiply(sP3_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_18207,c_18077]) ).

cnf(c_23250,plain,
    multiply(sk_c8,identity) = inverse(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_18207,c_19582]) ).

cnf(c_23476,plain,
    inverse(sP3_iProver_def) = sk_c8,
    inference(demodulation,[status(thm)],[c_23250,c_19582]) ).

cnf(c_23478,plain,
    ( sk_c8 != sk_c8
    | sk_c7 != identity
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_1614,c_23476]) ).

cnf(c_23479,plain,
    ( sk_c7 != identity
    | ~ sP1_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_23478]) ).

cnf(c_23491,plain,
    ( ~ sP1_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_6898,c_23479]) ).

cnf(c_23821,plain,
    multiply(sk_c7,sk_c7) = multiply(sP3_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_585,c_2108]) ).

cnf(c_24170,plain,
    ( inverse(sP3_iProver_def) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_23249,c_346]) ).

cnf(c_24251,plain,
    ( sk_c8 != sk_c7
    | ~ sP0_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24170,c_23476]) ).

cnf(c_24621,plain,
    multiply(sP12_iProver_def,multiply(sP3_iProver_def,sP2_iProver_def)) = multiply(sP2_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_23821,c_1205]) ).

cnf(c_24734,plain,
    ( sk_c8 != sP9_iProver_def
    | ~ sP0_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_366,c_24251]) ).

cnf(c_24735,plain,
    ( sk_c8 != sP7_iProver_def
    | ~ sP0_iProver_def
    | sk_c8 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_364,c_24251]) ).

cnf(c_24736,plain,
    ( sk_c8 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_361,c_24251]) ).

cnf(c_24737,plain,
    ( sk_c8 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_360,c_24251]) ).

cnf(c_24738,plain,
    ( sk_c8 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_359,c_24251]) ).

cnf(c_24739,plain,
    ( sk_c8 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_357,c_24251]) ).

cnf(c_24902,plain,
    sk_c8 = sP2_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_24734,c_5495,c_6895,c_6859,c_12623,c_23491,c_24735]) ).

cnf(c_24904,plain,
    ( sk_c7 != sP2_iProver_def
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_24251,c_24902]) ).

cnf(c_24916,plain,
    inverse(sP3_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_23476,c_24902]) ).

cnf(c_24998,plain,
    ( multiply(sP2_iProver_def,sP10_iProver_def) = sP11_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_714,c_24902]) ).

cnf(c_25009,plain,
    ( multiply(sP2_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_652,c_24902]) ).

cnf(c_25023,plain,
    multiply(sP8_iProver_def,sP9_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_2015,c_24902]) ).

cnf(c_25024,plain,
    multiply(sP4_iProver_def,sP6_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_1993,c_24902]) ).

cnf(c_25031,plain,
    ( multiply(X0,sP2_iProver_def) != sk_c7
    | inverse(X0) != sP2_iProver_def
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_345,c_24902]) ).

cnf(c_25032,plain,
    ( sP2_iProver_def != sP2_iProver_def
    | sP3_iProver_def != sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_1550,c_24902]) ).

cnf(c_25033,plain,
    multiply(sP5_iProver_def,sP10_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_1545,c_24902]) ).

cnf(c_25041,plain,
    multiply(sP3_iProver_def,sP2_iProver_def) = identity,
    inference(demodulation,[status(thm)],[c_761,c_24902]) ).

cnf(c_25043,plain,
    multiply(sP2_iProver_def,sk_c7) = sP12_iProver_def,
    inference(demodulation,[status(thm)],[c_342,c_24902]) ).

cnf(c_25045,plain,
    multiply(sk_c1,sP2_iProver_def) = sP10_iProver_def,
    inference(demodulation,[status(thm)],[c_340,c_24902]) ).

cnf(c_25049,plain,
    multiply(sk_c3,sP2_iProver_def) = sP9_iProver_def,
    inference(demodulation,[status(thm)],[c_339,c_24902]) ).

cnf(c_25050,plain,
    multiply(sP2_iProver_def,sk_c5) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_337,c_24902]) ).

cnf(c_25052,plain,
    inverse(sP2_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_333,c_24902]) ).

cnf(c_25169,plain,
    ( sP3_iProver_def != sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_25032]) ).

cnf(c_25186,plain,
    multiply(sk_c7,sk_c7) = identity,
    inference(demodulation,[status(thm)],[c_23821,c_25041]) ).

cnf(c_25383,plain,
    multiply(inverse(sP8_iProver_def),sP2_iProver_def) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_25023,c_18077]) ).

cnf(c_25391,plain,
    multiply(inverse(sP4_iProver_def),sP2_iProver_def) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_25024,c_18077]) ).

cnf(c_25400,plain,
    multiply(inverse(sP5_iProver_def),sP2_iProver_def) = sP10_iProver_def,
    inference(superposition,[status(thm)],[c_25033,c_18077]) ).

cnf(c_25431,plain,
    ( ~ sP0_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_24739,c_2607,c_24739]) ).

cnf(c_25433,plain,
    ( ~ sP0_iProver_def
    | sP2_iProver_def = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25431,c_24902]) ).

cnf(c_25463,plain,
    ( multiply(sP2_iProver_def,identity) = sP12_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_12535,c_25043]) ).

cnf(c_25498,plain,
    ( multiply(sP2_iProver_def,identity) = sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_10706,c_25050]) ).

cnf(c_25536,plain,
    multiply(inverse(sk_c7),identity) = sk_c7,
    inference(superposition,[status(thm)],[c_25186,c_18077]) ).

cnf(c_25778,plain,
    ( sP2_iProver_def = sP4_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_13018,c_25169]) ).

cnf(c_25779,plain,
    ( sP2_iProver_def = sP8_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_13017,c_25169]) ).

cnf(c_25781,plain,
    ( sP3_iProver_def != sP7_iProver_def
    | sP3_iProver_def = sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_12453,c_25169]) ).

cnf(c_25869,plain,
    ( multiply(sP2_iProver_def,sP2_iProver_def) != sk_c7
    | identity != sP2_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1780,c_19618,c_24902]) ).

cnf(c_25991,plain,
    ( inverse(sk_c1) != sP2_iProver_def
    | sk_c7 != sP10_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_25045,c_25031]) ).

cnf(c_25992,plain,
    ( inverse(sk_c3) != sP2_iProver_def
    | sk_c7 != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_25049,c_25031]) ).

cnf(c_26001,plain,
    ( sk_c7 != sP9_iProver_def
    | sP2_iProver_def != sP8_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25992,c_338]) ).

cnf(c_26005,plain,
    ( sk_c7 != sP10_iProver_def
    | sP2_iProver_def != sP5_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25991,c_335]) ).

cnf(c_26088,plain,
    ( sP2_iProver_def = sP4_iProver_def
    | sP1_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_25778,c_25433]) ).

cnf(c_26295,plain,
    inverse(sk_c7) = sk_c7,
    inference(demodulation,[status(thm)],[c_25536,c_19582]) ).

cnf(c_26787,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_26295,c_26088,c_26005,c_26001,c_25869,c_25781,c_25779,c_25498,c_25463,c_25400,c_25391,c_25383,c_25052,c_25050,c_25043,c_25041,c_25033,c_25024,c_25023,c_25009,c_24998,c_24916,c_24904,c_24902,c_24736,c_24737,c_24738,c_24621,c_23479,c_19721,c_18821,c_18181,c_18178,c_18148,c_18147,c_18124,c_17300,c_17299,c_10685,c_25169,c_2021,c_1807,c_1638,c_717,c_716,c_715,c_714,c_695,c_678,c_351,c_350,c_349,c_348,c_347]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP310-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:12:50 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.87/1.67  % SZS status Started for theBenchmark.p
% 7.87/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.67  
% 7.87/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.87/1.67  
% 7.87/1.67  ------  iProver source info
% 7.87/1.67  
% 7.87/1.67  git: date: 2024-05-02 19:28:25 +0000
% 7.87/1.67  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.87/1.67  git: non_committed_changes: false
% 7.87/1.67  
% 7.87/1.67  ------ Parsing...successful
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.87/1.67  
% 7.87/1.67  ------ Preprocessing... gs_s  sp: 3 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.87/1.67  
% 7.87/1.67  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.87/1.67  ------ Proving...
% 7.87/1.67  ------ Problem Properties 
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  clauses                                 43
% 7.87/1.67  conjectures                             29
% 7.87/1.67  EPR                                     27
% 7.87/1.67  Horn                                    17
% 7.87/1.67  unary                                   15
% 7.87/1.67  binary                                  25
% 7.87/1.67  lits                                    75
% 7.87/1.67  lits eq                                 71
% 7.87/1.67  fd_pure                                 0
% 7.87/1.67  fd_pseudo                               0
% 7.87/1.67  fd_cond                                 0
% 7.87/1.67  fd_pseudo_cond                          0
% 7.87/1.67  AC symbols                              0
% 7.87/1.67  
% 7.87/1.67  ------ Schedule dynamic 5 is on 
% 7.87/1.67  
% 7.87/1.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  ------ 
% 7.87/1.67  Current options:
% 7.87/1.67  ------ 
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  ------ Proving...
% 7.87/1.67  
% 7.87/1.67  
% 7.87/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.67  
% 7.87/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.87/1.68  
% 7.87/1.68  
%------------------------------------------------------------------------------